x2.72m.6. A lotus is 2m above the water in a pond. Due to wind the lot

1.	x2.72m.6. A lotus is 2m above the water in a pond. Due to wind the lotus slides on the side andonly the stem completely submerges in the water at a distance of 10m from theoriginal position. Find the depth of water in the pond.
Answer» Let the depth of the pond BC bexm. ∴CA = CD = (x+ 2) m In right ∆BCD, CD^2= BC^2+ BD^2 ⇒ (x+ 2)^2=x^2+ (10)^2 ⇒x^2+ 4x+ 4 =x^2+ 100 ⇒ 4x= 96 ⇒x= 24 Thus, the depth of the pond is 24 m. please send figure tq

x2.72m.6. A lotus is 2m above the water in a pond. Due to wind the lotus slides on the side andonly the stem completely submerges in the water at a distance of 10m from theoriginal position. Find the depth of water in the pond.

Answer»

Let the depth of the pond BC bexm.

∴CA = CD = (x+ 2) m

In right ∆BCD,

CD^2= BC^2+ BD^2

⇒ (x+ 2)^2=x^2+ (10)^2

⇒x^2+ 4x+ 4 =x^2+ 100

⇒ 4x= 96

⇒x= 24

Thus, the depth of the pond is 24 m.

please send figure